Hostname: page-component-74656f9884-rdgjk Total loading time: 0 Render date: 2026-11-08T08:41:41.809Z Has data issue: false hasContentIssue false
  • English
  • Français

STRONGLY INVARIANT SUBGROUPS

Part of: Abelian groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  18 December 2014

GRIGORE CĂLUGĂREANU
GRIGORE CĂLUGĂREANU*
Affiliation:
Babeş-Bolyai University, Cluj-Napoca, Romania E-mail: calu@math.ubbcluj.ro
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

As a special case of fully invariant subgroups, strongly invariant subgroups are introduced and studied for Abelian groups.

MSC classification

Primary: 20K27: Subgroups
Secondary: 20F99: None of the above, but in this section

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 2 , May 2015 , pp. 431 - 443
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

REFERENCES

1.Albrecht, U., Breaz, S. and Wickless, W., Self-small Abelian groups, Bull. Aust. Math. Soc. 80 (2009), 205–216.CrossRefGoogle Scholar
2.Fuchs, L., Infinite Abelian groups, vol. 1 (Academic Press, 1970).Google Scholar
3.Fuchs, L., Infinite Abelian groups, vol. 2 (Academic Press, 1973).Google Scholar
4.Kaplansky, I., Infinite Abelian groups, (University of Michigan Press, Ann Arbor 1956).Google Scholar
5.Krylov, P., Mikhalev, A. and Tuganbaev, A., Endomorphism rings of Abelian groups, Algebras and Applications (Kluwer Academic Publishers, 2003)Google Scholar
6.Levi, F., Über die Untergruppen der freien Gruppe, Math. Zeit. 37 (1933), 90–99.Google Scholar
7.Lewis, P. E., Characters of Abelian groups, Am. J. Math. 64 (1942), 81–105.Google Scholar
8.Rotman, J., An introduction to the theory of groups, 4th ed. (Springer Verlag, 1995).Google Scholar
9.Schmidt, R., Subgroup Lattices of Groups, de Gruyter Expositions in Mathematics (1994).Google Scholar
10.http://groupprops.subwiki.org/wiki/Homomorph-containing_subgroupGoogle Scholar